



"""simple docstring"""






from __future__ import annotations

import os
from collections.abc import Mapping

snake_case   					=				tuple[int, int]



class     UpperCAmelCase    :



   def __init__(       self    :	List[Any]							,       __lowerCamelCase    :	set[int]							,       __lowerCamelCase    :	Mapping[EdgeT, int]				):



     """simple docstring"""
     _snake_case   	=      vertices
     _snake_case   	=      {
         (min(__lowerCamelCase				), max(__lowerCamelCase				)): weight for edge, weight in edges.items()
     }



   def    __UpperCAmelCase    (       self    :	Union[str, Any]							,       __lowerCamelCase    :	EdgeT							,       __lowerCamelCase    :	int				):



     """simple docstring"""
     self.vertices.add(edge[0]				)
     self.vertices.add(edge[1]				)
     _snake_case   	=      weight





   def    __UpperCAmelCase    (       self    :	Union[str, Any]				):



     """simple docstring"""
     _snake_case   	=      Graph({min(self.vertices				)}							,       {}				)
     _snake_case   	=      42
     _snake_case   	=      42
     _snake_case   	=      42
     _snake_case   	=      42

     while len(subgraph.vertices				) < len(self.vertices				):
       _snake_case   	=      max(self.edges.values()				) + 1
       for edge, weight in self.edges.items():
         if (edge[0] in subgraph.vertices) ^ (edge[1] in subgraph.vertices):
           if weight < min_weight:
             _snake_case   	=      edge
             _snake_case   	=      weight

       subgraph.add_edge(__lowerCamelCase							,       __lowerCamelCase				)

     return subgraph




def 			snake_case		(		lowerCAmelCase_ = "p107_network.txt"	)						->				int:
  _snake_case   	=      os.path.abspath(os.path.dirname(lowerCAmelCase_	)	)
  _snake_case   	=      os.path.join(lowerCAmelCase_  ,						lowerCAmelCase_	)
  _snake_case   	=      {}
  _snake_case   	=      42
  _snake_case   	=      42
  _snake_case   	=      42

  with open(lowerCAmelCase_	) as f:
    _snake_case   	=      f.read().strip().split('''\n'''	)

  _snake_case   	=      [line.split(''','''	) for line in data]

  for edgea in range(1  ,						len(lowerCAmelCase_	)	):
    for edgea in range(lowerCAmelCase_	):
      if adjaceny_matrix[edgea][edgea] != "-":
        _snake_case   	=      int(adjaceny_matrix[edgea][edgea]	)

  _snake_case   	=      Graph(set(range(len(lowerCAmelCase_	)	)	)  ,						lowerCAmelCase_	)

  _snake_case   	=      graph.prims_algorithm()

  _snake_case   	=      sum(graph.edges.values()	)
  _snake_case   	=      sum(subgraph.edges.values()	)

  return initial_total - optimal_total


if __name__ == "__main__":
     print(F"{solution() = }")









'''simple docstring'''


import numpy as np





class        lowercase__    :





							'''simple docstring'''


							def __init__(       self    ):
											_SCREAMING_SNAKE_CASE					:			List[Any]							= (0, 0)
											_SCREAMING_SNAKE_CASE					:			List[str]							= None
											_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= 0
											_SCREAMING_SNAKE_CASE					:			List[str]							= 0
											_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= 0






							def __eq__(       self       ,   __snake_case    ):
											return self.position == cell.position






							def UpperCAmelCase_      (       self    ):
											print(self.position    )





class        lowercase__    :





							'''simple docstring'''


							def __init__(       self       ,   __snake_case=(5, 5)    ):
											_SCREAMING_SNAKE_CASE					:			str							= np.zeros(__snake_case    )
											_SCREAMING_SNAKE_CASE					:			Optional[Any]							= world_size[0]
											_SCREAMING_SNAKE_CASE					:			Tuple							= world_size[1]






							def UpperCAmelCase_      (       self    ):
											print(self.w    )






							def UpperCAmelCase_      (       self       ,   __snake_case    ):
											_SCREAMING_SNAKE_CASE					:			Optional[int]							= [
											    (-1, -1),
											    (-1, 0),
											    (-1, 1),
											    (0, -1),
											    (0, 1),
											    (1, -1),
											    (1, 0),
											    (1, 1),
											]
											_SCREAMING_SNAKE_CASE					:			Optional[int]							= cell.position[0]
											_SCREAMING_SNAKE_CASE					:			Optional[int]							= cell.position[1]
											_SCREAMING_SNAKE_CASE					:			Tuple							= []
											for n in neughbour_cord:
															_SCREAMING_SNAKE_CASE					:			Optional[Any]							= current_x + n[0]
															_SCREAMING_SNAKE_CASE					:			List[Any]							= current_y + n[1]
															if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
																			_SCREAMING_SNAKE_CASE					:			Optional[int]							= Cell()
																			_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= (x, y)
																			_SCREAMING_SNAKE_CASE					:			Dict							= cell
																			neighbours.append(__snake_case    )
											return neighbours







def      snake_case_  (    SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__	):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE					:			Tuple							= []
				_SCREAMING_SNAKE_CASE					:			Optional[Any]							= []
				_open.append(SCREAMING_SNAKE_CASE__	)

				while _open:
								_SCREAMING_SNAKE_CASE					:			Any							= np.argmin([n.f for n in _open]	)
								_SCREAMING_SNAKE_CASE					:			List[Any]							= _open[min_f]
								_closed.append(_open.pop(SCREAMING_SNAKE_CASE__	)	)
								if current == goal:
												break
								for n in world.get_neigbours(SCREAMING_SNAKE_CASE__	):
												for c in _closed:
																if c == n:
																				continue
												_SCREAMING_SNAKE_CASE					:			Optional[int]							= current.g + 1
												_SCREAMING_SNAKE_CASE						,			_SCREAMING_SNAKE_CASE					:			List[Any]							= n.position
												_SCREAMING_SNAKE_CASE						,			_SCREAMING_SNAKE_CASE					:			List[str]							= goal.position
												_SCREAMING_SNAKE_CASE					:			Dict							= (ya - ya) ** 2 + (xa - xa) ** 2
												_SCREAMING_SNAKE_CASE					:			Any							= n.h + n.g

												for c in _open:
																if c == n and c.f < n.f:
																				continue
												_open.append(SCREAMING_SNAKE_CASE__	)
				_SCREAMING_SNAKE_CASE					:			Any							= []
				while current.parent is not None:
								path.append(current.position	)
								_SCREAMING_SNAKE_CASE					:			List[Any]							= current.parent
				path.append(current.position	)
				return path[::-1]


if __name__ == "__main__":
				UpperCAmelCase_						:  List[Any]				  =						Gridworld()
				# Start position and goal
				UpperCAmelCase_						:  Optional[Any]				  =						Cell()
				UpperCAmelCase_						:  Tuple				  =						(0, 0)
				UpperCAmelCase_						:  Optional[Any]				  =						Cell()
				UpperCAmelCase_						:  Tuple				  =						(4, 4)
				print(F"path from {start.position} to {goal.position}")
				UpperCAmelCase_						:  Union[str, Any]				  =						astar(world, start, goal)
				#   Just for visual reasons.
				for i in s:
								UpperCAmelCase_						:  Optional[int]				  =						1
				print(world.w)




